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Finding the Fourth Proportional to 6,351.84, 9,528.70 and 1,969.68

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Solution

The fourth proportional to 6,351.84, 9,528.70 and 1,969.68 is: 2,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.84 : 9,528.70 = 1,969.68 : x
  2. Step 2: Convert to fraction form
    6,351.84/9,528.70 = 1,969.68/x
  3. Step 3: Cross multiply
    6,351.84x = 9,528.70 × 1,969.68
  4. Step 4: Simplify right side
    6,351.84x = 18,768,489.82
  5. Step 5: Solve for x
    x = 18,768,489.82/6,351.84
  6. Step 6: Final answer
    x = 2,954.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.